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16 Jul 2024, 14:49
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Bunuel
Cuboidal box of two difference sizes
length = 6 inch
height = 9 inch
width w1, w2 and w1 is not equal to w2
priced by volume = $2 per inch^3
Volume of one box = 24.5 * height = 24.5*9 = 220.5
Volume of second box = 32.75 * height = 32.75*9 = 294.75
Price of one box = 220.5*2= 441.. so 440 is closest choice
Price of second box = 294.75*2= 589.5.. so 590 is closes choice
GuadalupeAntonia
Yale Moderator
Joined: 04 May 2024
Last visit: 26 Apr 2026
Posts: 59
Given Kudos: 22
Location: Mexico
Schools: Haas '27 Yale '27 Stanford '27 MIT '27 Wharton '27
GMAT Focus 1: 665 Q84 V83 DI80 
GPA: 3.5
Schools: Haas '27 Yale '27 Stanford '27 MIT '27 Wharton '27
GMAT Focus 1: 665 Q84 V83 DI80
Posts: 59
16 Jul 2024, 15:27
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BOX 1
volume box 1=L*H*W
L=6 in
H=9 in
W= w in
volume box 1=6*9*W in^3
Area box 1 = L*W =6* w=24.5 in^2
volume box1= Area box 1*H= 24.5*9=aprox 25*9=225*($2 per in^3)= less than $450 but greater than 24*9*2=216*$2=$432
ANS $440
BOX 2
volume box 2=L*H*W
L=6 in
H=9 in
W= w in
volume box 2=6*9*W in^3
Area box 2 = L*W =6* w=32.75in^2
volume box1= Area box 1*H= 32.75*9=aprox 33*9=297*($2 per in^3)= less than $594 but greater than 32*9*2=288*2=$576
ANS $590
volume box 1=L*H*W
L=6 in
H=9 in
W= w in
volume box 1=6*9*W in^3
Area box 1 = L*W =6* w=24.5 in^2
volume box1= Area box 1*H= 24.5*9=aprox 25*9=225*($2 per in^3)= less than $450 but greater than 24*9*2=216*$2=$432
ANS $440
BOX 2
volume box 2=L*H*W
L=6 in
H=9 in
W= w in
volume box 2=6*9*W in^3
Area box 2 = L*W =6* w=32.75in^2
volume box1= Area box 1*H= 32.75*9=aprox 33*9=297*($2 per in^3)= less than $594 but greater than 32*9*2=288*2=$576
ANS $590
16 Jul 2024, 15:42
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Bunuel
We know that:
\(Base Area = L*W\)
\(V = L * W * H\)
Therefore,
\(V = L* \frac{Base Area}{L} * H\)
\(V = Base Area * H\)
\(Cost = $2*V\)
Base area of 24.5 sq. in.
\(V = Base Area * H\)
\(V = 24.5* 9 = 220.5\)
\(C=2*220.50=441\approx{$440} \)
Base area of 32.75 sq. in.
\(V = Base Area * H\)
\(V = 32.75* 9 = 294.75\)
\(C=2*294.75=589.5 \approx{$590} \)
Therefore, the answers are:
Base area 24.5 square inches -> $440
Base area 32.75 square inches -> $590
